Determine the factor when the hydrostatic force on one of the vertical sides of the beaker decreases when the height of the liquid column is reduced to one-fourth.

Question

Question

This question was previously asked in

JKSSB JE CE 2021 Official Paper Shift 1 (Held on 27 Oct 2021)

Answer 1

Concept:

Hydrostatic force per unit width on the vertical side of beaker is given as

F = \(\frac 1 2\)ρgh2

Calculation:

Given:

h' = h/4

The hydrostatic force will be

F' = \(\frac 1 2\)ρg(h/4)2

F' = \(\frac{1}{16}\) ×\(\frac 1 2\)ρgh2

F' = \(\frac{1}{16}\)F